Details

sample184.0ms

Algorithm

intervals

Results

49.0ms	41×	body	1280	valid
46.0ms	27×	body	320	valid
33.0ms	35×	body	640	valid
25.0ms	145×	body	80	valid
3.0ms	8×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize94.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.5b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite498.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

231.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
56.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
204.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series424.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
70.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
233.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify4.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1531
1	426
0	172

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

100.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
38.0ms	(/ (sin x) (sin (* x 0.5)))
92.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series382.0ms

Counts

3 → 9

Calls

3 calls:

205.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
106.0ms	(/ (sin x) (sin (* x 0.5)))
71.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify4.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5003
2	1993
1	580
0	220

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize119.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (sin x) (sin (* x 0.5))) 3.0)
0.2b	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))
0.2b	(/ (sin x) (sin (* x 0.5)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
24×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1`
4×	`associate-/r` `associate-/l`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 94

Calls

3 calls:

80.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
93.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))
40.0ms	(/ (sin x) (sin (* x 0.5)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
153.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))
94.0ms	(/ (sin x) (sin (* x 0.5)))

simplify4.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5052
2	1863
1	439
0	174

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize140.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(/ (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 114

Calls

3 calls:

44.0ms	(/ (sin (* x 0.5)) 3.0)
91.0ms	(/ (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin x) (sin (* x 0.5))))
35.0ms	(/ (sin x) (sin (* x 0.5)))

series366.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (sin (* x 0.5)) 3.0)
177.0ms	(/ (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin x) (sin (* x 0.5))))
134.0ms	(/ (sin x) (sin (* x 0.5)))

simplify4.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5005
2	2148
1	543
0	216

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end1.0ms

sample5.9s

Algorithm

intervals

Results

2.2s	1507×	body	1280	valid
1.7s	1337×	body	640	valid
699.0ms	4237×	body	80	valid
581.0ms	318×	body	160	valid
425.0ms	601×	body	320	valid